On a fractional magnetic Schr\"odinger equation in $\mathbb{R}$ with exponential critical growth

Vincenzo Ambrosio

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arXiv · 1810.04560

On a fractional magnetic Schr\"odinger equation in $\mathbb{R}$ with exponential critical growth

Vincenzo Ambrosio

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Abstract

We deal with a class of fractional magnetic Schr\"odinger equations in the whole line with exponential critical growth. Under a local condition on the potential, we use penalization methods and Ljusternik-Schnirelmann category theory to investigate the existence, multiplicity and concentration of nontrivial weak solutions.

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Vincenzo Ambrosio. 2018-10-09. On a fractional magnetic Schr\"odinger equation in $\mathbb{R}$ with exponential critical growth. https://arxiv.org/abs/1810.04560

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